By comparing reaction cells sealed from the same manifold temperature dependency corresponding to activation energies ranging from 11 to 18 Af was observed while dependence on the first power of the light intensity seemed to be indicated in most cases.

By comparing the form of several yupanas, researchers found that calculations were based using the Fibonacci sequence 1, 1, 2, 3, 5 and powers of 10, 20 and 40 as place values for the different fields in the instrument.

By comparing Arithmetic and Geometric mean of numbers

By comparing the length and intensity of various methods of therapies, it was proven that intensity is a better predictor of recovery than the method of therapy used.

By comparing different embryonic stages of different vertebrate species, he formulated the Recapitulation theory.

By comparing the parts of the genome that are not under natural selection and which therefore accumulate mutations at a fairly steady rate, it is possible to reconstruct a genetic tree incorporating the entire human species since the last shared ancestor.

By comparing mitochondrial DNA which is inherited only from the mother, geneticists have concluded that the last female common ancestor whose genetic marker is found in all modern humans, the so-called mitochondrial Eve, must have lived around 200, 000 years ago.

By comparing the genome compositions between genomes, scientists can better understand the evolutionary history of a given genome.

By comparing the relative positions of the moon and Mars with their anticipated positions, Vespucci was able to crudely deduce his longitude.

Soon however, Marl's records became more sample heavy, as can be seen by comparing the MC Shan LPs Down By Law ( 1987 ) and Born to be Wild ( 1988 ); the rhythms less electronic, with drum samples and patterns becoming more prominent.

By comparing the different natural languages, scholars hope to learn something about the nature of human intelligence and the innate biases and constraints that shape natural language, which are sometimes called universal grammar.

By comparing the times of the eclipses, the difference in longitude of Paris to Uranienborg was calculated.

By comparing the photographic plates of the Pleiades cluster taken in 1918 with images taken in 1943, van Maanen was able to identify those stars that had a proper motion similar to the mean motion of the cluster, and were therefore more likely to be members.

By comparing skulls of different ethnic groups it supposedly allowed for ranking of races from least to most evolved.

By measuring the frequency of the returned signal and comparing that with the original, the difference can be easily measured.

By comparing the spectra of stars such as Sirius to the Sun, they found differences in the strength and number of their absorption lines — the dark lines in a stellar spectra due to the absorption of specific frequencies by the atmosphere.

By comparing the spectrum to computed models of stellar evolution, the age, mass, radius and luminosity of Tau Ceti can be estimated.

By monitoring vegetation changes over time, droughts can be monitored by comparing the current vegetation state to its long term average.

By instead comparing the radiated power in a given direction to the actual power that the antenna receives from the transmitter, the power gain takes into account that poorer efficiency, making it a more useful figure of merit for the ability of a transmitter in sending a radio wave toward a receiver.

By expanding the left hand side and then comparing the real and imaginary parts under the assumption that x is real, it is possible to derive useful expressions for cos ( nx ) and sin ( nx ) in terms of cos x and sin x.

By comparing the arrival times of gamma showers with the separations of the spacecraft, a location can be determined, for follow-up with other telescopes.

By comparing this with the account of stupteria given by Dioscorides in the 123rd chapter of his 5th book, it is obvious that the two are identical.

* 1862 – By analysing the spectroscopic signature of the Sun and comparing it to those of other stars, Father Angelo Secchi determines that the Sun is itself a star.

By counting numbers of live and dead mites that developed every 15 days and comparing this with his initial count on the infant, he was able to estimate how long that infant was dead.

By writing as a Laurent series and explicitly comparing terms, one may verify that it satisfies the relation

By upholding his own personal code of behavior, the private detective has placed himself in opposition to a society whose fabric is permeated with crime and corruption.

By his own confession, Maris is an angry young man.

By 335 BC he had returned to Athens, establishing his own school there known as the Lyceum.

By age three, however, her mother changed her name to Elizabeth Sewall Alcott, after her own mother.

By their assistance and that of his own subjects, who entertained a great attachment for him, he recovered Epirus.

By the standards of 19th century tycoons, Carnegie was not a particularly ruthless man but a humanitarian with enough acquisitiveness to go in the ruthless pursuit of money ; on the other hand, the contrast between his life and the lives of many of his own workers and of the poor, in general, was stark.

" By his own appraisal, he was a non-conforming misfit in the fraternity environment.

By the end of Judges the Israelites are in a worse condition than they were at the beginning, with Yahweh's treasures used to make idolatrous images, the Levites ( priests ) corrupted, the tribe of Dan conquering a remote village instead of the Canaanite cities, and the tribes of Israel making war on the Benjamites, their own brothers.

By imposing, retrospectively, his own perceptions of mobile warfare upon the shallow concept of blitzkrieg, he " created a theoretical imbroglio that has taken 40 years to unravel.

By 1743, he had perfected his hybrid style of playwriting ( combining the model of Molière with the strengths of Commedia dell ' arte and his own wit and sincerity ).

By his own account, he spent a great deal of time in the Oak Knoll Naval Hospital's library, where he would have encountered the work of Freud and other psychoanalysts.

By his own admission, Hubbard made what he considered was one of the greatest mistakes of his life when he used the biological definition of engram as a " trace on a cell ", which was not in line with the proper biological definition.

By the end of the year Mobutu had created a rival government with its own prime minister.

By this time the destroyers had become large, multi-purpose vessels, expensive targets in their own right.

By the next Broadway season, he was the star of his own show about a young man who is drafted called Let's Face It !.

By mid-1892 Satie had composed the first pieces in a compositional system of his own making (), had provided incidental music to a chivalric esoteric play ( two ), had had his first hoax published ( announcing the premiere of, an anti-Wagnerian opera he probably never composed ), and had broken with Péladan, starting that autumn with the Uspud project, a " Christian Ballet ", in collaboration with.

By the time the siege ended in May 1094, El Cid had carved out his own principality on the coast of the Mediterranean.

By chance he encountered a copy of " Captain Claridge's work on the ' Water Cure ,' as practised by Priessnitz, at Graefenberg ", and " making allowances for certain exaggerations therein ", pondered the option of travelling to Graefenberg, but preferred to find something closer to home, with access to his own doctors in case of failure: " I who scarcely lived through a day without leech or potion!

By 2000, almost no major vendor produced its own EDIF tools, choosing instead to OEM third-party tools.

By the early 1970s, the picture changed: software costs were dramatically increasing, a growing software industry was competing with the hardware manufacturer's bundled software products ( free in that the cost was included in the hardware cost ), leased machines required software support while providing no revenue for software, and some customers able to better meet their own needs did not want the costs of " free " software bundled with hardware product costs.

By 410, Britain was effectively told to look after its own affairs and expect no aid from Rome.

By October 1935 his flat-mates had moved out and he was struggling to pay the rent on his own.

By the time he opened his own furniture workshop in 1917, Rietveld had taught himself drawing, painting and model-making.

By 1902, the factory alone became " A great city with its own streets, its own police force, fire department and traffic laws.